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Finding the Fourth Proportional to 21,872.96, 32,778.72 and 11,463.68

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Solution

The fourth proportional to 21,872.96, 32,778.72 and 11,463.68 is: 17,179.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,872.96 : 32,778.72 = 11,463.68 : x
  2. Step 2: Convert to fraction form
    21,872.96/32,778.72 = 11,463.68/x
  3. Step 3: Cross multiply
    21,872.96x = 32,778.72 × 11,463.68
  4. Step 4: Simplify right side
    21,872.96x = 375,764,756.89
  5. Step 5: Solve for x
    x = 375,764,756.89/21,872.96
  6. Step 6: Final answer
    x = 17,179.42

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.